Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation (x-3)*(x+4)=0
-
Equation x^3-x^2-5=0
-
Equation x-2(3x+2)=16
- Equation x^2-1=1+(1/2)*y
- Express {x} in terms of y where:
- -10*x+16*y=-6
- -13*x+9*y=1
- -10*x+9*y=-6
- -17*x+13*y=-3
- Integral of d{x}:
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tan(x/2)
- Graphing y =:
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tan(x/2)
- Limit of the function:
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tan(x/2)
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Identical expressions
- tan(x/ two)= zero
- tangent of (x divide by 2) equally 0
- tangent of (x divide by two) equally zero
- tanx/2=0
- tan(x/2)=O
- tan(x divide by 2)=0
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Similar expressions
- o=o*x^6-3*sqrt(x)+x^3*tan(x)-x*(x^3*tan(x)/2+2*x^2*tan(x)^(2/3)+x*tan(x)-x+1)+3*x-1
tan(x/2)=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\tan{\left(\frac{x}{2} \right)} = 0$$
- this is the simplest trigonometric equation
We get:
$$\tan{\left(\frac{x}{2} \right)} = 0$$
This equation is transformed to
$$\frac{x}{2} = \pi n + \operatorname{atan}{\left(0 \right)}$$
Or
$$\frac{x}{2} = \pi n$$
, where n - is a integer
Divide both parts of the equation by
$$\frac{1}{2}$$
we get the answer:
$$x_{1} = 2 \pi n$$
$$\tan{\left(\frac{x}{2} \right)} = 0$$
- this is the simplest trigonometric equation
with the change of sign in 0
We get:
$$\tan{\left(\frac{x}{2} \right)} = 0$$
This equation is transformed to
$$\frac{x}{2} = \pi n + \operatorname{atan}{\left(0 \right)}$$
Or
$$\frac{x}{2} = \pi n$$
, where n - is a integer
Divide both parts of the equation by
$$\frac{1}{2}$$
we get the answer:
$$x_{1} = 2 \pi n$$
Numerical answer
[src]
x1 = 69.1150383789755
x2 = -50.2654824574367
x3 = 25.1327412287183
x4 = 18.8495559215388
x5 = 56.5486677646163
x6 = 94.2477796076938
x7 = -69.1150383789755
x8 = -81.6814089933346
x9 = 50.2654824574367
x10 = 43.9822971502571
x11 = 87.9645943005142
x12 = -43.9822971502571
x13 = -6.28318530717959
x14 = -18.8495559215388
x15 = 81.6814089933346
x16 = -62.8318530717959
x17 = 6.28318530717959
x18 = -94.2477796076938
x19 = -12.5663706143592
x20 = 75.398223686155
x21 = -75.398223686155
x22 = -31.4159265358979
x23 = 62.8318530717959
x24 = -56.5486677646163
x25 = -87.9645943005142
x26 = 37.6991118430775
x27 = -25.1327412287183
x28 = 100.530964914873
x29 = -37.6991118430775
x30 = 0.0
x31 = 31.4159265358979
x32 = 12.5663706143592
x33 = -100.530964914873
x33 = -100.530964914873
The graph